The relation between mass and concentration in x-ray galaxy clusters at high-redshift.

In this Thesis work we have studied the properties of high-redshift galaxy clusters through the X-ray emission from their intracluster gas. In particular, we have focused on the relation between concentration and mass that is related to the density of the universe at the formation time of the clusters and therefore, it is a powerful cosmological probe. Concentration is expected to be a decreasing function of mass but a complete characterization of this relation has not been reached yet. We have analysed 22 clusters observed withe the Chandra satellite at high redshift and we have investigated the concentration-mass relation.

Phosphonsäurehaltige polycyclische aromatische Kohlenwasserstoffe für Anwendungen in Brennstoffzellen

Die vorliegende Arbeit umfasst die Synthese und Charakterisierung phosphonsäurehaltiger, organischer Kristalle als ionenleitende Verbindungen in Brennstoffzellen-Anwendungen. Sie zielt dabei einerseits auf die Darstellung von protonenleitenden Polyphenylenverbindungen und deren Verwendung als Linker für den Aufbau protonenleitender Aluminium-Phosphonat-Netzwerke ab und behandelt andererseits die Einführung stark polarer Phosphonsäuregruppen in einen diskreten Nanographenkern sowie deren Einfluss auf die ionen- und elektronenleitenden Eigenschaften, um diese als gemischt-leitende Kompatibilisatoren an der isolierenden Elektrode/ Membran-Grenzfläche in einer Brennstoffzelle zu verwenden. Am Beispiel eines phosphonsäurefunktionalisierten, phenylenisch-expandierten Hexaphenylbenzols konnte ein solvothermisch stabiler Protonenleiter mit einer Selbstorganisation in kolumnare, supramolekulare Strukturen und hoher, temperaturunabhängiger Leitfähigkeit mit dominierendem Grotthuss-Anteil präsentiert werden. Durch einen Wechsel dieser 1D-radialen Phosphonsäureanordnung in der Molekülhülle hin zu 2D- und 3D-H2PO3-funktionalisierten, dendritischen Stäbchen- bzw. Kugelstrukturen konnte gezeigt werden, dass eine kolumnare Molekülanordnung jedoch kein notwendiges Kriterium für einen Grotthuss-artigen Protonentransport darstellt. Durch die mehrdimensionale Orientierung der Phosphonsäuren in der Außenhülle der Dendrimere garantieren die synthetisierten Strukturen hochaggregierte Phosphonsäurecluster, die als dichtes Säurekontinuum die eigentlichen protonenleitfähigen Kanäle darstellen und somit als entscheidendes Kriterium für das Auftreten eines Grotthuss-artigen Mechanismus definiert werden müssen. Eine signifikante Erhöhung der Leitfähigkeit konnte durch den Aufbau poröser, organisch-anorganischer Netzwerke (Al-HPB-NETs) über Komplexierung einer unterstöchiometrischen Menge an Aluminium-Kationen mit der Polyphosphonsäureverbindung Hexakis(p-phosphonatophenyl)benzol als Linkereinheit erfolgen, die anschließend mit kleinen intrinsischen Protonenleitern wie Phosphonsäure dotiert wurden. Diese dotierten Netzwerke wiesen außergewöhnliche Leitfähigkeit auf, da sie die σ-Werte des Referenzpolymers Nafion® bereits in einem Temperaturbereich oberhalb von 135°C übertrafen, aber gleichzeitig ein sehr gutes Säureretentionsverhalten von einem Gew.-% Säuredesorption über eine Immersionsdauer von 14 h gegenüber wässrigem Medium zeigten. Durch Mischen dieser Aluminiumphosphonate mit einer dotierten Polymermatrix wie PBI konnten synergistische Effekte durch zusätzliche attraktive H-Brückenbindungen zwischen molekular angebundener Phosphonsäure und mobiler H3PO4 an Hand eines signifikanten Leitfähigkeitsanstiegs für die resultierenden Membranen beobachtet werden. Die Protonenleitfähigkeit lag in diesen Materialien in dem gesamten untersuchten Temperaturbereich oberhalb von Nafion®. Durch das Einbringen der NETs in PBI konnte ebenfalls die Säureretention von PBI um etwa 9 % bei kurzen Immersionszeiten (bis 1 min) verbessert werden. Darüber hinaus wurde in der vorliegenden Arbeit die synthetische Kombination eines hydrophoben, elektronenleitenden Nanographenkerns mit einer, durch eine isolierende Peripherie getrennten, stark polaren, protonenleitenden Außenhülle realisiert. Am Beispiel von zwei phosphonsäurefunktionalisierten Triphenylenen, die sich in Länge und Planarität der gewählten Peripheriebausteine unterschieden, sollten polycyclische aromatische Kohlenwasserstoffe mit gemischt protonen- und elektronenleitenden Eigenschaften hergestellt werden, die über Impedanzspektroskopie und Vierpunktmessungen untersucht wurden. Da es sich bei der Anwendung solcher gemischtleitenden Verbindungen um grenz-flächenaktive Substanzen handelt, die das ohne verbesserte Anbindung bestehende Dielektrikum zwischen Elektrode und protonenleitender Membran überbrücken sollen, wurde die Untersuchung eines möglichen Elektronentransportes durch eine Molekülmonolage ebenfalls über kombinatorische STM- und STS-Technik durchgeführt.

Connection between x-ray and radio properties of cool-core galaxy clusters hosting radio mini-halos

Gli ammassi di galassie sono gli oggetti gravitazionalmente legati più grandi dell’Universo. Questi emettono principalmente in banda X tramite bremsstrahlung. Una frazione mostra anche emissione radio diffusa da parte di elettroni relativistici che spiraleggiano nel campo magnetico. Si possono classificare tre tipi di emissione: alon, relitti e mini-aloni radio (MH). I MH sono sorgenti radio su scale di ≥ 200 – 500 kpc, osservate al centro di ammassi caratterizzati dalla presenze di cool-core (CC). L’origine dei MH non è ancora chiara. Gli elettroni relativistici che emettono in banda radio hanno tempi di vita radiativi di molto inferiori a quelli necessari per diffondere sulle scale dell’emissione diffusa. Quindi non sono semplicemente iniettati dalle galassie presenti negli ammassi ed è necessario un meccanismo di accelerazione “in-situ” nell’ICM. I MH testimoniano la presenza di meccanismi che canalizzano parte del budget energetico disponibile nei CC nell’ICM.Quindi lo studio è importante per comprendere la fisica dell’ICM e l’interazione fra le componenti non termiche e termiche. I MH si formano attraverso la riaccelerazione delle particelle relativistiche ad opera della turbolenza del gas. L’origine di questa turbolenza tuttavia non è ancora ben compresa. Gli ammassi CC sono caratterizzati da un picco della brillanza X nelle regioni centrali e da un drop della temperatura verso il centro accompagnata da aumento della densità del gas. Si ritiene che questo sia dovuto al raffreddamento del gas che quindi fluisce nelle zone centrali. Recenti osservazioni in X risultan inconsistenti con il modello classico di CF, suggerendo la presenza di una sorgente di riscaldamento del gas su scale del core degli ammassi. Recentemente Zhuravleva (2014) hanno mostrato che il riscaldamento dovuto alla turbolenza prodotta dall'AGN centrale è in grado di bilanciare il processo di raffreddamento. Abbiamo assunto che la turbolenza responsabile del riscaldamento del gas è anche responsabile dell’accelerazione delle particelle nei MH. Nell’ambito di questo scenario ci si aspetta una correlazione tra la potenza del cooling flow, PCF, che è una misura del tasso di energia emessa dal gas che raffredda nei CC, e la luminosità radio, che è una frazione dell’energia della turbolenza che è canalizzata nell’accelerazione delle particelle. In questo lavoro di tesi abbiamo utilizzato il più grande campione disponibile di MH, allo scopo di studiare la connessione fra le proprietà dei MH e quelle del gas termico nei core degli ammassi che li ospitano. Abbiamo analizzato i dati di 21 ammassi e ricavato i parametri fisici all’interno del raggio di cooling e del MH. Abbiamo ricavato la correlazione fra luminosità radio, e PCF. Abbiamo trovato che le due quantità correlano in modo quasi-lineare confermando i risultati precedenti. Tale correlazione suggerisce uno stretto legame fra le proprietà del gas nei CC e l’origine dei MH.

Radio relics and magnetic fields in galaxy clusters

Radio relics are diffuse synchrotron sources generally located in the peripheries of galaxy clusters in merging state. According to the current leading scenario, relics trace gigantic cosmological shock waves that cross the intra-cluster medium where particle acceleration occurs. The relic/shock connection is supported by several observational facts, including the spatial coincidence between relics and shocks found in the X-rays. Under the assumptions that particles are accelerated at the shock front and are subsequently deposited and then age downstream of the shock, Markevitch et al. (2005) proposed a method to constrain the magnetic field strength in radio relics. Measuring the thickness of radio relics at different frequencies allows to derive combined constraints on the velocity of the downstream flow and on the magnetic field, which in turns determines particle aging. We elaborate this idea to infer first constraints on magnetic fields in cluster outskirts. We consider three models of particle aging and develop a geometric model to take into account the contribution to the relic transverse size due to the projection of the shock-surface on the plane of the sky. We selected three well studied radio relics in the clusters A 521, CIZA J2242.8+5301 and 1RXS J0603.3+4214. These relics have been chosen primarily because they are almost seen edge-on and because the Mach number of the shock that is associated with these relics is measured by X-ray observations, thus allowing to break the degeneracy between magnetic field and downstream velocity in the method. For the first two clusters, our method is consistent with a pure radiative aging model allowing us to derive constraints on the relics magnetic field strength. In the case of 1RXS J0603.3+4214 we find that particle life-times are consistent with a pure radiative aging model under some conditions, however we also collect evidences for downstream particle re-acceleration in the relic W-region and for a magnetic field decaying downstream in its E-region. Our estimates of the magnetic field strength in the relics in A 521 and CIZA J2242.8+5301 provide unique information on the field properties in cluster outskirts. The constraints derived for these relics, together with the lower limits to the magnetic field that we derived from the lack of inverse Compton X-ray emission from the sources, have been combined with the constraints from Faraday rotation studies of the Coma cluster. Overall results suggest that the spatial profile of the magnetic field energy density is broader than that of the thermal gas, implying that the ε_th /ε_B ratio decreases with cluster radius. Alternatively, radio relics could trace dynamically active regions where the magnetic field strength is biased high with respect to the average value in the cluster volume.

Microbiologic results after non-surgical erbium-doped:yttrium, aluminum, and garnet laser or air-abrasive treatment of peri-implantitis: a randomized clinical trial

The purpose of this study is to assess clinical and microbiologic effects of the non-surgical treatment of peri-implantitis lesions using either an erbium-doped:yttrium, aluminum, and garnet (Er:YAG) laser or an air-abrasive subgingival polishing method.

The Role of Anharmonicity in Hydrogen-Bonded Systems: The Case of Water Clusters

The nature of vibrational anharmonicity has been examined for the case of small water clusters using second-order vibrational perturbation theory (VPT2) applied on second-order Møller–Plesset perturbation theory (MP2) potential energy surfaces. Using a training set of 16 water clusters (H2O)n=2–6,8,9 with a total of 723 vibrational modes, we determined scaling factors that map the harmonic frequencies onto anharmonic ones. The intermolecular modes were found to be substantially more anharmonic than intramolecular bending and stretching modes. Due to the varying levels of anharmonicity of the intermolecular and intramolecular modes, different frequency scaling factors for each region were necessary to achieve the highest accuracy. Furthermore, new scaling factors for zero-point vibrational energies (ZPVE) and vibrational corrections to the enthalpy (ΔHvib) and the entropy (Svib) have been determined. All the scaling factors reported in this study are different from previous works in that they are intended for hydrogen-bonded systems, while others were built using experimental frequencies of covalently bonded systems. An application of our scaling factors to the vibrational frequencies of water dimer and thermodynamic functions of 11 larger water clusters highlights the importance of anharmonic effects in hydrogen-bonded systems.

Benchmark Structures and Binding Energies of Small Water Clusters with Anharmonicity Corrections

For (H2O)n where n = 1–10, we used a scheme combining molecular dynamics sampling with high level ab initio calculations to locate the global and many low lying local minima for each cluster. For each isomer, we extrapolated the RI-MP2 energies to their complete basis set limit, included a CCSD(T) correction using a smaller basis set and added finite temperature corrections within the rigid-rotor-harmonic-oscillator (RRHO) model using scaled and unscaled harmonic vibrational frequencies. The vibrational scaling factors were determined specifically for water clusters by comparing harmonic frequencies with VPT2 fundamental frequencies. We find the CCSD(T) correction to the RI-MP2 binding energy to be small (<1%) but still important in determining accurate conformational energies. Anharmonic corrections are found to be non-negligble; they do not alter the energetic ordering of isomers, but they do lower the free energies of formation of the water clusters by as much as 4 kcal/mol at 298.15 K.

Thermodynamics of Forming Water Clusters at Various Temperatures and Pressures by Gaussian-2, Gaussian-3, Complete Basis Set-QB3, and Complete Basis Set-APNO Model Chemistries; Implications for Atmospheric Chemistry

The Gaussian-2, Gaussian-3, complete basis set- (CBS-) QB3, and CBS-APNO methods have been used to calculate ΔH° and ΔG° values for neutral clusters of water, (H2O)n, where n = 2−6. The structures are similar to those determined from experiment and from previous high-level calculations. The thermodynamic calculations by the G2, G3, and CBS-APNO methods compare well against the estimated MP2(CBS) limit. The cyclic pentamer and hexamer structures release the most heat per hydrogen bond formed of any of the clusters. While the cage and prism forms of the hexamer are the lowest energy structures at very low temperatures, as temperature is increased the cyclic structure is favored. The free energies of cluster formation at different temperatures reveal interesting insights, the most striking being that the cyclic trimer, cyclic tetramer, and cyclic pentamer, like the dimer, should be detectable in the lower troposphere. We predict water dimer concentrations of 9 × 1014 molecules/cm3, water trimer concentrations of 2.6 × 1012 molecules/cm3, tetramer concentrations of approximately 5.8 × 1011 molecules/cm3, and pentamer concentrations of approximately 3.5 × 1010 molecules/cm3 in saturated air at 298 K. These results have important implications for understanding the gas-phase chemistry of the lower troposphere.